2052400893984 has 288 divisors, whose sum is σ = 7253561218176. Its totient is φ = 536989409280.

The previous prime is 2052400893937. The next prime is 2052400893989. The reversal of 2052400893984 is 4893980042502.

2052400893984 is a `hidden beast` number, since 2 + 0 + 5 + 240 + 0 + 8 + 9 + 398 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2052400893984.

It is not an unprimeable number, because it can be changed into a prime (2052400893989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458799 + ... + 2077329.

It is an arithmetic number, because the mean of its divisors is an integer number (25185976452).

Almost surely, 2^{2052400893984} is an apocalyptic number.

2052400893984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052400893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626780609088).

2052400893984 is an abundant number, since it is smaller than the sum of its proper divisors (5201160324192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2052400893984 is a wasteful number, since it uses less digits than its factorization.

2052400893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618608 (or 1618597 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2052400893984 in words is "two trillion, fifty-two billion, four hundred million, eight hundred ninety-three thousand, nine hundred eighty-four".